6090964992000 has 1728 divisors, whose sum is σ = 26293404271680. Its totient is φ = 1387266048000.

The previous prime is 6090964991911. The next prime is 6090964992067. The reversal of 6090964992000 is 2994690906.

6090964992000 is a `hidden beast` number, since 60 + 9 + 0 + 96 + 499 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21676031860 + ... + 21676032140.

It is an arithmetic number, because the mean of its divisors is an integer number (15216090435).

Almost surely, 2^{6090964992000} is an apocalyptic number.

6090964992000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6090964992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13146702135840).

6090964992000 is an abundant number, since it is smaller than the sum of its proper divisors (20202439279680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6090964992000 is an frugal number, since it uses more digits than its factorization.

6090964992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 6090964992000 in words is "six trillion, ninety billion, nine hundred sixty-four million, nine hundred ninety-two thousand".